This is true, so the point (0, 7) is in the solution set of 5x−3y<21.
To determine which ordered pair is in the solution set of the inequality
5x−3y<21, you can use the given graph and test various points.
Since the inequality is < (less than), any point below the line represented by 5x−3y=21 should be a solution.
Here are the general steps:
Identify a point below the line 5x−3y=21. For example, you can choose a point with integer coordinates for simplicity.
Substitute the coordinates of the chosen point into the inequality
5x−3y<21.
If the inequality is true, then the chosen point is in the solution set.
Let's say we choose the point (0, 7) as a test point. Substitute these values into the inequality:
5(0)−3(7)<21
Simplify:
−21<21
This is true, so the point (0, 7) is in the solution set of 5x−3y<21.